Requesting relationships to know for success in Physics

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Understanding key mathematical concepts is essential for success in physics, particularly for high school and college levels. For grade 12, focus on trigonometry, including the cosine and sine laws, and graphing skills such as finding slopes and understanding secant and tangent lines. At the degree level, a solid grasp of algebra, geometry, and calculus is crucial, with an emphasis on understanding concepts rather than just applying formulas. Real-world applications, such as the ice bath theory, highlight the importance of context in physics problems. Mastery of these mathematical foundations will enhance comprehension and problem-solving abilities in physics.
P91
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From mathematical concepts (eg trig) to the basic physical ones. Which should I know and understand?
 
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P91 said:
From mathematical concepts (eg trig) to the basic physical ones. Which should I know and understand?

For grade 12?

Just know how to find a slop of a graph, secant and tangent lines.

Trig will help you a lot. Be sure to know the cos= adj/hyp etc. cosine law and sine law.

Pretty much it. The rest is addition and subtraction and theory.
 
brno17 said:
For grade 12?

Just know how to find a slop of a graph, secant and tangent lines.

Trig will help you a lot. Be sure to know the cos= adj/hyp etc. cosine law and sine law.

Pretty much it. The rest is addition and subtraction and theory.

For degree level.
 
Most important, you should understand each concept that is presented in Physics. Math is a tool used to teach the Sciences. But some professors will test you on your ability to understand what you have learned. For example: One of my Professors posed the following problem.

"We know that an ice bath (mixture of ice and water) stays at 32 degrees until either all the ice melts or all the water freezes. If a pond has a two inch sheet on ice on it's surface, what is the temperature below the ice?"

The important point to remember is that the ice bath theory holds true if the container holds pure water and pure ice. The pond does not hold pure water nor pure ice!
 
P91 said:
From mathematical concepts (eg trig) to the basic physical ones. Which should I know and understand?
For a college degree (bachelor's), I'd say you'll need to know:
Algebra, including exponential and logarithmic functions
Geometry
Trigonometry
Linear algebra
Calculus: Differential, Integral, Multivariable, Differential Equations
In brief, you should know up through 2nd year calculus.
 
So I know that electrons are fundamental, there's no 'material' that makes them up, it's like talking about a colour itself rather than a car or a flower. Now protons and neutrons and quarks and whatever other stuff is there fundamentally, I want someone to kind of teach me these, I have a lot of questions that books might not give the answer in the way I understand. Thanks

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